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  1. Ali E. Abbas (2010). Invariant Multiattribute Utility Functions. Theory and Decision 68 (1-2):69-99.
    We present a method to characterize the preferences of a decision maker in decisions with multiple attributes. The approach modifies the outcomes of a multivariate lottery with a multivariate transformation and observes the change in the decision maker’s certain equivalent. If the certain equivalent follows this multivariate transformation, we refer to this situation as multiattribute transformation invariance, and we derive the functional form of the utility function. We then show that any additive or multiplicative utility function that is formed of (...)
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  2. Mohammed Abdellaoui (2009). Rank-Dependent Utility. In Paul Anand, Prastanta Pattanaik & Clemens Puppe (eds.), The Handbook of Rational and Social Choice. Oxford University Press, Usa.
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  3. Arif Ahmed (2010). Causation and Decision. Proceedings of the Aristotelian Society 110 (2pt2):111-131.
    Sophisticated ‘tickle’-style defences of Evidential Decision Theory take your motivational state to screen off your act from any state that is causally independent of it, thus ensuring that EDT and CDT converge. That leads to unacceptable instability in cases in which the correct action is obvious. We need a more liberal conception of what the agent controls. It follows that an ordinary deliberator should sometimes consider the past and not only the future to be subject to her present choice.
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  4. J. C. R. Alcantud (1999). Weak Utilities From Acyclicity. Theory and Decision 47 (2):185-196.
    In this paper weak utilities are obtained for acyclic binary relations satisfying a condition weaker than semicontinuity on second countable topological spaces. In fact, in any subset of such a space we obtain a weak utility that characterizes the maximal elements as maxima of the function. The addition of separability of the relation yields the existence of semicontinuous representations. This property of the utility provides a result of existence of maximal elements for a class of spaces that include compact spaces. (...)
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  5. J. C. R. Alcantud, G. Bosi, M. J. Campión, J. C. Candeal, E. Induráin & C. Rodríguez-Palmero (2008). Continuous Utility Functions Through Scales. Theory and Decision 64 (4):479-494.
    We present here a direct elementary construction of continuous utility functions on perfectly separable totally preordered sets that does not make use of the well-known Debreu’s open gap lemma. This new construction leans on the concept of a separating countable decreasing scale. Starting from a perfectly separable totally ordered structure, we give an explicit construction of a separating countable decreasing scale, from which we show how to get a continuous utility map.
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  6. J. McKenzie Alexander (2010). Local Interactions and the Dynamics of Rational Deliberation. Philosophical Studies 147 (1):103 - 121.
    Whereas The Stag Hunt and the Evolution of Social Structure supplements Evolution of the Social Contract by examining some of the earlier work’s strategic problems in a local interaction setting, no equivalent supplement exists for The Dynamics of Rational Deliberation . In this article, I develop a general framework for modeling the dynamics of rational deliberation in a local interaction setting. In doing so, I show that when local interactions are permitted, three interesting phenomena occur: (a) the attracting deliberative equilibria (...)
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  7. Maurice Allais (1991). Cardinal Utility. Theory and Decision 31 (2-3):99-140.
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  8. Massimiliano Amarante & Fabio Maccheroni (2006). When an Event Makes a Difference. Theory and Decision 60 (2-3):119-126.
    For (S, Σ) a measurable space, let ${\cal C}_1$ and ${\cal C}_2$ be convex, weak* closed sets of probability measures on Σ. We show that if ${\cal C}_1$ ∪ ${\cal C}_2$ satisfies the Lyapunov property , then there exists a set A ∈ Σ such that minμ1∈ ${\cal C}_1$ μ1(A) > maxμ2 ∈ ${\cal C}_2$ (A). We give applications to Maxmin Expected Utility (MEU) and to the core of a lower probability.
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  9. Yakov Amihud (1979). Critical Examination of the New Foundation of Utility. In Maurice Allais & Ole Hagen (eds.), Expected Utility Hypotheses and the Allais Paradox. D. Reidel. 149--160.
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  10. Takao Asano & Hiroyuki Kojima (forthcoming). An Axiomatization of Choquet Expected Utility with Cominimum Independence. Theory and Decision.
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  11. Harriet Baber (1995). Choice, Preference and Utility: A Response to Sommers. Metaphilosophy 26 (4):402-412.
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  12. Enrique Ballestero & Carlos Romero (1994). Utility Optimization When the Utility Function is Virtually Unknown. Theory and Decision 37 (2):233-243.
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  13. Luís Fernando Brands Barbosa & Gil Riella (forthcoming). A Note on Equivalent Comparisons of Information Channels. Theory and Decision:1-12.
    Nakata (Theory Decis 71:559–574, 2011) presents a model of acquisition of information where the agent does not know what pieces of information she is missing. In this note, we point out some technical problems in a few of Nakata’s results and show how to correct them.
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  14. Peter Bardsley (1993). Local Utility Functions. Theory and Decision 34 (2):109-118.
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  15. Paul Bartha, John Barker & Alan Hájek (2014). Satan, Saint Peter and Saint Petersburg. Synthese 191 (4):629-660.
    We examine a distinctive kind of problem for decision theory, involving what we call discontinuity at infinity. Roughly, it arises when an infinite sequence of choices, each apparently sanctioned by plausible principles, converges to a ‘limit choice’ whose utility is much lower than the limit approached by the utilities of the choices in the sequence. We give examples of this phenomenon, focusing on Arntzenius et al.’s Satan’s apple, and give a general characterization of it. In these examples, repeated dominance reasoning (...)
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  16. Richard Batley (2008). On Ordinal Utility, Cardinal Utility and Random Utility. Theory and Decision 64 (1):37-63.
    Though the Random Utility Model (RUM) was conceived entirely in terms of ordinal utility, the apparatus through which it is widely practised exhibits properties of cardinal utility. The adoption of cardinal utility as a working operation of ordinal is perfectly valid, provided interpretations drawn from that operation remain faithful to ordinal utility. The article considers whether the latter requirement holds true for several measurements commonly derived from RUM. In particular it is found that measurements of consumer surplus change may depart (...)
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  17. Manel Baucells & Rakesh K. Sarin (2007). Evaluating Time Streams of Income: Discounting What? [REVIEW] Theory and Decision 63 (2):95-120.
    For decisions whose consequences accrue over time, there are several possible techniques to compute total utility. One is to discount utilities of future consequences at some appropriate rate. The second is to discount per-period certainty equivalents. And the third is to compute net present values (NPVs) of various possible streams and to then apply the utility function to these net present values. We find that the best approach is to first compute NPVs of various possible income streams and then take (...)
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  18. Claus Beisbart, Luc Bovens & Stephan Hartmann (2005). A Utilitarian Assessment of Alternative Decision Rules in the Council of Ministers. European Union Politics 6 (4):395-419.
    We develop a utilitarian framework to assess different decision rules for the European Council of Ministers. The proposals to be decided on are conceptualized as utility vectors and a probability distribution is assumed over the utilities. We first show what decision rules yield the highest expected utilities for different means of the probability distri- bution. For proposals with high mean utility, simple bench- mark rules (such as majority voting with proportional weights) tend to outperform rules that have been proposed in (...)
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  19. Claus Beisbart & Stephan Hartmann (2006). Welfarism and the Assessment of Social Decision Rules. In Jerome Lang & Ulle Endriss (eds.), Computational Social Choice 2006. University of Amsterdam.
    The choice of a social decision rule for a federal assembly affects the welfare distribution within the federation. But which decision rules can be recommended on welfarist grounds? In this paper, we focus on two welfarist desiderata, viz. (i) maximizing the expected utility of the whole federation and (ii) equalizing the expected utilities of people from different states in the federation. We consider the European Union as an example, set up a probabilistic model of decision making and explore how different (...)
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  20. Georges Bernard (1986). A Discussion of the Present State of Utility Theory (FUR II, Venice, 1984). Theory and Decision 20 (2):173-188.
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  21. Georges Bernard (1984). On Utility Functions. The Present State. Theory and Decision 17 (1):97-100.
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  22. Georges Bernard (1978). Note on Two Applications of the CEVR Utility Function. Theory and Decision 9 (2):199-203.
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  23. Georges Bernard (1974). On Utility Functions. Theory and Decision 5 (2):205-242.
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  24. Karl Borch (1979). Utility and Stochastic Dominance. In Maurice Allais & Ole Hagen (eds.), Expected Utility Hypotheses and the Allais Paradox. D. Reidel. 193--201.
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  25. Isabelle Brocas (2011). Dynamic Inconsistency and Choice. Theory and Decision 71 (3):343-364.
    In this paper, we analyze an intra-personal game where a decision-maker is summarized by a succession of selves. Selves may (or may not) have conflicting interests, and earlier selves may have imperfect knowledge of the preferences of future selves. At date 1, self-1 chooses a menu, at date 2, the preferences of self-2 realize and self-2 chooses an item from the menu. We show that equilibrium choice is consistent with either a preference for flexibility, a preference for betweenness or a (...)
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  26. A. Camacho (1980). Approaches to Cardinal Utility. Theory and Decision 12 (4):359-379.
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  27. A. Camacho (1979). On Cardinal Utility. Theory and Decision 10 (1-4):131-145.
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  28. Adrian R. Camilleri & Ben R. Newell (2009). Within-Subject Preference Reversals in Description-and Experience-Based Choice. In N. A. Taatgen & H. van Rijn (eds.), Proceedings of the 31st Annual Conference of the Cognitive Science Society. 449--454.
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  29. Robert Chambers & Tigran Melkonyan (2008). Eliciting Beliefs. Theory and Decision 65 (4):271-284.
    We develop an algorithm that can be used to approximate a decisionmaker’s beliefs for a class of preference structures that includes, among others, α-maximin expected utility preferences, Choquet expected utility preferences, and, more generally, constant additive preferences. For both exact and statistical approximation, we demonstrate convergence in an appropriate sense to the true belief structure.
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  30. Jake Chandler (2014). Subjective Probabilities Need Not Be Sharp. Erkenntnis 79 (6):1273-1286.
    It is well known that classical, aka ‘sharp’, Bayesian decision theory, which models belief states as single probability functions, faces a number of serious difficulties with respect to its handling of agnosticism. These difficulties have led to the increasing popularity of so-called ‘imprecise’ models of decision-making, which represent belief states as sets of probability functions. In a recent paper, however, Adam Elga has argued in favour of a putative normative principle of sequential choice that he claims to be borne out (...)
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  31. Stephen A. Clark (1993). Revealed Preference and Linear Utility. Theory and Decision 34 (1):21-45.
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  32. Richard M. Cyert & Morris H. DeGroot (1979). Adaptive Utility. In Maurice Allais & Ole Hagen (eds.), Expected Utility Hypotheses and the Allais Paradox. D. Reidel. 223--241.
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  33. Olof Dahlbäck (1990). An Experimental Analysis of Risk Taking. Theory and Decision 29 (3):183-202.
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  34. Richard Dawkins (1999). 14 God's Utility Function. In Eleonore Stump & Michael J. Murray (eds.), Philosophy of Religion: The Big Questions. Blackwell Publishers. 6--109.
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  35. Morris H. Degroot (1994). Changes in Utility as Information. Theory and Decision 17 (3):287-303.
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  36. R. Delver, H. Monsuur & A. J. A. Storcken (1991). Ordering Pairwise Comparison Structures. Theory and Decision 31 (1):75-94.
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  37. Robert Delver & Herman Monsuur (1998). Echelons in Incomplete Relations. Theory and Decision 44 (3):279-292.
    An efficient method of value assessment of a set of exchangeable alternatives A = a1,a2, ? ,an is presented. It particularly applies to situations where certain preferences may be easily evaluated or are already known, while other binary comparisons may not at once be available. Further applications are to ranking partial tournaments and the emergence and the characterisation of organisational hierarchy. By sequentially performing transitively efficient assessments of uncompared pairs, an initial weakly acyclical preference structure in A is transformed into (...)
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  38. Michel Demers (1987). Mean Utility Preserving Increases in Risk for State Dependent Utility Functions. Theory and Decision 23 (2):113-128.
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  39. Franz Dietrich, How to Reach Legitimate Decisions When the Procedure is Controversial.
    Imagine a group that faces a decision problem but does not agree on which decision procedure is appropriate. In that case, can a decision be reached that respects the procedural concerns of the group? There is a sense in which legitimate decisions are possible even if people disagree on which procedure to use. I propose to decide in favour of an option which maximizes the number of persons whose judged-right procedure happens to entail this decision given the profile. This decision (...)
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  40. James Dreier (2004). Decision Theory and Morality. In Piers Rawling & Al Mele (eds.), Oxford Handbook of Rationality. Oxford. 156--181.
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  41. Jamie Dreier (2005). Pettit on Preference for Prospects and Properties – Discussion. [REVIEW] Philosophical Studies 124 (2):199 - 219.
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  42. D. Dubois, J. C. Fodor, H. Prade & M. Roubens (1996). Aggregation of Decomposable Measures with Application to Utility Theory. Theory and Decision 41 (1):59-95.
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  43. Bhaskar Dutta (2008). Some Remarks on the Ranking of Infinite Utility Streams. In Kaushik Basu & Ravi Kanbur (eds.), Arguments for a Better World: Essays in Honor of Amartya Sen: Volume I: Ethics, Welfare, and Measurement and Volume Ii: Society, Institutions, and Development. Oup Oxford.
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  44. Kenny Easwaran (2014). Decision Theory Without Representation Theorems. Philosophers' Imprint 14 (27).
    Naive versions of decision theory take probabilities and utilities as primitive and use expected value to give norms on rational decision. However, standard decision theory takes rational preference as primitive and uses it to construct probability and utility. This paper shows how to justify a version of the naive theory, by taking dominance as the most basic normatively required preference relation, and then extending it by various conditions under which agents should be indifferent between acts. The resulting theory can make (...)
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  45. Gosta Ekman, Jan Hosman & Brita Lindstrom (1965). Roughness, Smoothness, and Preference: A Study of Quantitative Relations in Individual Subjects. Journal of Experimental Psychology 70 (1):18.
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  46. Jean-Claude Falmagne (1983). A Random Utility Model for a Belief Function. Synthese 57 (1):35 - 48.
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  47. Peter H. Farquhar (1980). Advances in Multiattribute Utility Theory. Theory and Decision 12 (4):381-394.
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  48. Peter C. Fishburn (1981). Subjective Expected Utility: A Review of Normative Theories. [REVIEW] Theory and Decision 13 (2):139-199.
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  49. Peter C. Fishburn (1977). Models of Individual Preference and Choice. Synthese 36 (3):287 - 314.
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  50. Peter C. Fishburn (1975). A Theory of Subjective Expected Utility with Vague Preferences. Theory and Decision 6 (3):287-310.
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